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What is the Least Common Multiple of 63817 and 63834?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 63817 and 63834 is 4073694378.

LCM(63817,63834) = 4073694378

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Least Common Multiple of 63817 and 63834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63817 and 63834, than apply into the LCM equation.

GCF(63817,63834) = 1
LCM(63817,63834) = ( 63817 × 63834) / 1
LCM(63817,63834) = 4073694378 / 1
LCM(63817,63834) = 4073694378

Least Common Multiple (LCM) of 63817 and 63834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63817 and 63834. First we will calculate the prime factors of 63817 and 63834.

Prime Factorization of 63817

Prime factors of 63817 are 13, 4909. Prime factorization of 63817 in exponential form is:

63817 = 131 × 49091

Prime Factorization of 63834

Prime factors of 63834 are 2, 3, 10639. Prime factorization of 63834 in exponential form is:

63834 = 21 × 31 × 106391

Now multiplying the highest exponent prime factors to calculate the LCM of 63817 and 63834.

LCM(63817,63834) = 131 × 49091 × 21 × 31 × 106391
LCM(63817,63834) = 4073694378